On a coordinate plane, a parabola opens up. It goes through (negative 8, negative 2), has a vertex at (negative 5, negative 6.5), goes through (negative 2, negative 2), and has a y-intercept at (0, 6).
Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?

(–6.5, ∞)
(–5, ∞)
(–∞, –5)
(–∞, –6.5)

Step-by-step explanation:

Distributive property

Step-by-step explanation:

To solve both questions you will have to use the Pythagoras theorem

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

c being the hypotenuse

so to find AB we say

[tex] {ap}^{2} = {pb}^{2} + {ab}^{2} [/tex]

To make AB the subject of the formula, we take PB over. Therefore:

[tex] {ab}^{2} = {ap}^{2} - {pb}^{2} [/tex]

now we just substitute

[tex] {ab}^{2} = {13}^{2} - {5}^{2} [/tex]

[tex] {ab}^{2} = 169 - 25[/tex]

[tex] {ab}^{2} = 144[/tex]

square root both sides of the equation

[tex]ab = 12[/tex]

We then use the same formula to find AQ(which is a hypotenuse)

[tex] {aq}^{2} = {ab}^{2} + {bq}^{2} [/tex]

[tex] {aq}^{2} = {12}^{2} + {9}^{2} [/tex]

[tex] {aq}^{2} = 144 + 81[/tex]

[tex] {aq}^{2} = 225[/tex]

square root both sides

[tex]aq = 15[/tex]

Answer:

Our simplified ratio is 3:10.

Step-by-step explanation:

We are given this ratio:

We can tell that 7.2:24 = 7.2/24. Now, let's simplify.

Our simplified fraction is 3/10. Now, let's turn it back to ratio form.

Conclusion:

Therefore, our simplified ratio is 3:10.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

$4.5 for one taco

Step-by-step explanation:

18 divided by 4

The division is a process of splitting a specific amount into equal parts.

The equation to find the cost of each taco truck is 4x = 18.

The cost of each taco truck is $4.5.

The division is a process of splitting a specific amount into equal parts.

Example:

5 apples cost $60.

Cost of each apple = 60/5 = $12.

We have,

Total amount spend = $18

Number of taco trucks where $18 was spent = 4

Let the cost of each taco truck = x

The equation to find the cost of each taco truck can be written as:

4x = 18

We need to find x.

x = 18/4

x = $4.5

Thus the cost of each taco truck is $4.5.

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[tex]\huge \tt༆ Answer ༄[/tex]

The given equation of the line is in slope intercept form, and if we equate the given equation with general equation of line (y = mx + c) , we will get slope (m) = -4

And therefore, the slope of the line is B

Answer:

The value is [tex]81[/tex]

Step-by-step explanation:

We need to find value of [tex]5x+31[/tex] when [tex]x=10[/tex]

We have

[tex]5\times10+31=50+31\\\\=81[/tex]

Answer:

785 almonds

Step-by-step explanation:

157 x 5 = 785

Answer:

72

Step-by-step explanation:

I this problem I'm sure you're supposed to multiply: 24 x 3 = 72

hopefully this helped :)

Answer: 25 Plays Total.

60% of 25 is 15

10% of 25 = 2.5

2.5x6=15

Hope This Helps.

Answer:

0.326

The dot is going to move to the right which is going to be in between 3 and 2.

Then the answer will be 3.26 ×10^-1

Answer:

3.26 × 10-1 or

[tex] \frac{163}{500} [/tex]

I didnt know which one u needed

Answer:

i believe that the answer is y= -1/2 +3.

Answer: Yes, he does.

Step-by-step explanation:

55 x 12 = 600 Also can I see the answers for the question

[tex]i^7 + \dfrac 1{i^4}\\\\=i^2 \cdot i^2 \cdot i^2 \cdot i + \dfrac 1{i^2 \cdot i^2}\\\\=(-1)(-1)(-1)i + \dfrac 1{(-1)(-1)} ~~~;[ i^2 = -1] \\\\\ = (-1)^3 i+ \dfrac 1{(-1)^2} \\\\=-i+1[/tex]

The equivalent expression for the given expression (w+9)+3 using associative property is w + 12

Solution:

Given that, expression is ( w + 9 ) + 3

We have to find how do we can use the associative property to write an expression equivalent to ( w + 9 ) + 3

The associative property states that you can add or multiply regardless of how the numbers are grouped

By above definition, we get

(a + b) + c = a + (b + c)

So, now let us apply the above property to the given expression,

Then, ( w + 9 ) + 3 = w + ( 9 + 3 ) = w + 12

Hence, the equivalent expression for the given expression is w + 12

Associative property:-

[tex]\boxed{\sf (a+b)+c=a+(b+c)}[/tex]

Now

[tex]\\ \sf\longmapsto (w+9)+3[/tex]

[tex]\\ \sf\longmapsto 3+(w+9)[/tex]

Answer:

11:18

Step-by-step explanation:

Hope this helped!

Answer:

[tex]8^{18}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex] , then

[tex]8^{15}[/tex] ÷ [tex]8^{-3}[/tex]

= [tex]8^{(15-(-3))}[/tex]

= [tex]8^{(15+3)}[/tex]

= [tex]8^{18}[/tex]

The simplified form is 8^18

The exponent of a number shows how many times the number is multiplied by itself. For example, 2×2×2×2 can be written as 24, as 2 is multiplied by itself 4 times. Here, 2 is called the "base" and 4 is called the "exponent" or "power." In general, xn means that x is multiplied by itself for n times.

The properties of exponents or laws of exponents are used to solve problems involving exponents. These properties are also considered as major exponents rules to be followed while solving exponents. The properties of exponents are mentioned below.

Given:

8^15÷8^−3

Using

a^m / a^n = a^( m-n)

So,

8^15÷8^−3

=8^(15-(−3))

=8^(15 +3)

=8^18

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Answer:

(5+-1) (2+2

Step-by-step explanation:

See attachment for answer and math work.

Answer:

Step-by-step explanation:

"Domain" means what numbers are allowed to be x (or on a graph, for what x's does the graph exist)

Since inside a square root you have to have a positive number (actually, just not a negative number). So all the positive numbers work (any positive+5 is a positive number) BUT ALSO x can be 0, BUT ALSO, x can be as small as -5 and still the value inside the square root will not be negative

SO THIS MEANS all the x's we're allowed to use (that's the DOMAIN) are everything from -5 and bigger. In math we write that as x>= -5

There are two other main ways to write it: [-5, infinity symbol) OR {x|x>=-5} these all mean the same thing.

The answer is C. -0.25; the rate at which Martin's distance from the finish line changes per minute

Answer:

its option B

Step-by-step explanation:

Answer:

the answer is d

Step-by-step explanation:

Multiply the total weight by the percentage

16 ounces x 0.03 = 0.48

0.48 ounces is fat

Answer:

V = 500 cm³

Step-by-step explanation:

V = 4/3 πr³

V = (4/3) × 3 × (5 cm)³

V = 4 × 125 cm³

V = 500 cm³

Answer:

No solution

Step-by-step explanation:

How should I kow how much he drove? I need at least one distance. Either your fooling me, or the person who gave you this question is. There is no solution.

Answer:

b) g(x) = Five-sevenths (three-fifths) Superscript negative x

Step-by-step explanation:

both ranges are y<0, you can clearly see this if you plug all of the equations into a graphing calculator

A domain of a function has to do with the set of all possible inputs in a function and contains real numbers.

This refers to the relation or expression that has to do with a number of variables for example, "bx + c" is a function.

Hence, we can see that your question is incomplete so I gave you a general overview to help you get a better understanding of functions and domains.

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Answer:

This relationship is not a function because more than one amount of plant food remains each day.

Step-by-step explanation:

i hope this is correct but sorry if im wrong